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Title: gL1 scheme for solving a class of generalized time-fractional diffusion equations
Authors: Li, Xuhao
Wong, Patricia Jia Ying
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2022
Source: Li, X. & Wong, P. J. Y. (2022). gL1 scheme for solving a class of generalized time-fractional diffusion equations. Mathematics, 10(8), 1219-.
Journal: Mathematics 
Abstract: In this paper, a numerical scheme based on a general temporal mesh is constructed for a generalized time-fractional diffusion problem of order α. The main idea involves the generalized linear interpolation and so we term the numerical scheme the gL1 scheme. The stability and convergence of the numerical scheme are analyzed using the energy method. It is proven that the temporal convergence order is (2 − α) for a general temporal mesh. Simulation is carried out to verify the efficiency of the proposed numerical scheme.
ISSN: 2227-7390
DOI: 10.3390/math10081219
Schools: School of Electrical and Electronic Engineering 
Rights: © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// 4.0/).
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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